On the Invariant Sphere Theorem

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Authors: Jaume Llibre, Xiang Zhang
Cited by: 1
References: 9

Abstract

Abstract For a system in $$\mathbb {R}^n$$ R n consisting of an unstable star node and homogeneous nonlinearity, i.e. $$\dot{x}=\mu x+Q(x)$$ x ˙ = μ x + Q ( x ) with $$\mu >0$$ μ > 0 and Q ( x ) a homogeneous polynomial satisfying $$xQ(x)

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Nonlinear Differential Equations Analysis Nonlinear Waves and Solitons

Publication details

Journal / source
Aequationes Mathematicae
Publisher
Springer Science and Business Media LLC
Volume
100
Issue
3
Publication date
19 May 2026
Language
EN